Question

pls help me with this question........​

Answer 1

Answer:

(1+tan^2 θ) cot θ/ cosec^2 θ

= sec^2 θ . cot θ/ cosec^2 θ

( we know, sec^2 θ - tan^2 θ = 1)

sec^2 θ = 1+ tan^2 θ

In next step we convert sec^2 into 1/cos^2, cot into cos/sin and cosec^2 into 1/ sin^2 respectively....

Hence we get,

[1/cos^2 θ × cos θ/sin θ]/ 1/ sin^2 θ

= 1/ sin θ . cos θ × sin^2 θ

= sin θ/ cos θ

= tan θ

Hope it will help you ✌️